Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 362460140.6903397, 'bad_primes': [2, 11, 19], 'central_character': '1.1', 'conductor': 1398291161776239149056, 'conductor_radical': 418, 'degree': 12, 'dirichlet_coefficients': [1, 0, -4, 0, 1, 0, 0, 0, 1, 0, -6, 0, 0, 0, -4, 0, 3, 0, -6, 0, 0, 0, -7, 0, -13, 0, 17, 0, -4, 0, -7, 0, 24, 0, 0, 0, -2, 0, 0, 0, 7, 0, -21, 0, 1, 0, -16, 0, -20, 0, -12, 0, 17, 0, -6, 0, 24, 0, -19, 0, -6, 0, 0, 0, 0, 0, -14, 0, 28, 0, -1, 0, -5, 0, 52, 0, 0, 0, 0, 0, -22, 0, -11, 0, 3, 0, 16, 0, 12, 0, 0, 0, 28, 0, -6, 0, 14, 0, -6, 0], 'euler11': [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], 'euler13': [1, 0, 56, 3, 1447, 111, 23052, 1443, 244543, 6591, 1599416, 0, 4826809], 'euler17': [1, -3, 86, -233, 3279, -7564, 71588, -128588, 947631, -1144729, 7182806, -4259571, 24137569], 'euler19': [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 7, 115, 654, 5997, 26983, 178654, 620609, 3172413, 7957218, 32181715, 45054401, 148035889], 'euler29': [1, 4, 56, 67, 183, -3677, -27356, -106633, 153903, 1634063, 39607736, 82044596, 594823321], 'euler3': [1, 4, 15, 39, 95, 194, 362, 582, 855, 1053, 1215, 972, 729], 'euler31': [1, 7, 108, 664, 5928, 34277, 225226, 1062587, 5696808, 19781224, 99740268, 200404057, 887503681], 'euler37': [1, 2, 187, 376, 15563, 27918, 740834, 1032966, 21305747, 19045528, 350468107, 138687914, 2565726409], 'euler41': [1, -7, 225, -1251, 21703, -95550, 1160782, -3917550, 36482743, -86220171, 635796225, -810993407, 4750104241], 'euler43': [1, 21, 287, 2191, 10663, 10046, -84622, 431978, 19715887, 174199837, 981195887, 3087177303, 6321363049], 'euler47': [1, 16, 290, 3088, 33823, 265728, 2101692, 12489216, 74715007, 320605424, 1415107490, 3669520112, 10779215329], 'euler5': [1, -1, 14, -10, 92, -29, 466, -145, 2300, -1250, 8750, -3125, 15625], 'euler53': [1, -17, 344, -3901, 46719, -388982, 3313792, -20616046, 131233671, -580769177, 2714325464, -7109323381, 22164361129], 'euler59': [1, 19, 259, 3008, 32403, 289897, 2374706, 17103923, 112794843, 617780032, 3138396499, 13583561681, 42180533641], 'euler61': [1, 6, 244, 1342, 29111, 138948, 2171864, 8475828, 108322031, 304608502, 3378385204, 5067577806, 51520374361], 'euler67': [1, 14, 235, 2073, 23803, 172820, 1786642, 11578940, 106851667, 623481699, 4735513435, 18901751498, 90458382169], 'euler7': [1, 0, 20, -3, 175, -57, 1140, -399, 8575, -1029, 48020, 0, 117649], 'euler71': [1, 1, 222, 1004, 26366, 135647, 2298562, 9630937, 132911006, 359342644, 5641393182, 1804229351, 128100283921], 'euler73': [1, 5, 266, 1737, 34999, 238442, 3055996, 17406266, 186509671, 675722529, 7553932106, 10365357965, 151334226289], 'euler79': [1, 0, 308, 444, 47999, 68652, 4774360, 5423508, 299561759, 218909316, 11996624948, 0, 243087455521], 'euler83': [1, 11, 259, 2809, 45125, 383834, 4460318, 31858222, 310866125, 1606149683, 12291705139, 43329447073, 326940373369], 'euler89': [1, -12, 319, -3584, 55795, -517308, 6160106, -46040412, 441952195, -2526608896, 20014774879, -67008713388, 496981290961], 'euler97': [1, -14, 335, -1708, 21123, 187618, -368278, 18198946, 198746307, -1558845484, 29657309135, -120222763598, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 15, 39, 95, 194, 362, 582, 855, 1053, 1215, 972, 729], [1, -1, 14, -10, 92, -29, 466, -145, 2300, -1250, 8750, -3125, 15625], [1, 0, 20, -3, 175, -57, 1140, -399, 8575, -1029, 48020, 0, 117649], [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, 0, 56, 3, 1447, 111, 23052, 1443, 244543, 6591, 1599416, 0, 4826809], [1, -3, 86, -233, 3279, -7564, 71588, -128588, 947631, -1144729, 7182806, -4259571, 24137569], [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, 7, 115, 654, 5997, 26983, 178654, 620609, 3172413, 7957218, 32181715, 45054401, 148035889], [1, 4, 56, 67, 183, -3677, -27356, -106633, 153903, 1634063, 39607736, 82044596, 594823321], [1, 7, 108, 664, 5928, 34277, 225226, 1062587, 5696808, 19781224, 99740268, 200404057, 887503681], [1, 2, 187, 376, 15563, 27918, 740834, 1032966, 21305747, 19045528, 350468107, 138687914, 2565726409], [1, -7, 225, -1251, 21703, -95550, 1160782, -3917550, 36482743, -86220171, 635796225, -810993407, 4750104241], [1, 21, 287, 2191, 10663, 10046, -84622, 431978, 19715887, 174199837, 981195887, 3087177303, 6321363049], [1, 16, 290, 3088, 33823, 265728, 2101692, 12489216, 74715007, 320605424, 1415107490, 3669520112, 10779215329], [1, -17, 344, -3901, 46719, -388982, 3313792, -20616046, 131233671, -580769177, 2714325464, -7109323381, 22164361129], [1, 19, 259, 3008, 32403, 289897, 2374706, 17103923, 112794843, 617780032, 3138396499, 13583561681, 42180533641], [1, 6, 244, 1342, 29111, 138948, 2171864, 8475828, 108322031, 304608502, 3378385204, 5067577806, 51520374361], [1, 14, 235, 2073, 23803, 172820, 1786642, 11578940, 106851667, 623481699, 4735513435, 18901751498, 90458382169], [1, 1, 222, 1004, 26366, 135647, 2298562, 9630937, 132911006, 359342644, 5641393182, 1804229351, 128100283921], [1, 5, 266, 1737, 34999, 238442, 3055996, 17406266, 186509671, 675722529, 7553932106, 10365357965, 151334226289], [1, 0, 308, 444, 47999, 68652, 4774360, 5423508, 299561759, 218909316, 11996624948, 0, 243087455521], [1, 11, 259, 2809, 45125, 383834, 4460318, 31858222, 310866125, 1606149683, 12291705139, 43329447073, 326940373369], [1, -12, 319, -3584, 55795, -517308, 6160106, -46040412, 441952195, -2526608896, 20014774879, -67008713388, 496981290961], [1, -14, 335, -1708, 21123, 187618, -368278, 18198946, 198746307, -1558845484, 29657309135, -120222763598, 832972004929]], 'id': 20205820, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3344/2/a/v'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-3344e6-1.1-c1e6-0-4', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 6, 'prelabel': '12-3344e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.167395324137313, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1629332622286668312, 'z1': {'__RealLiteral__': 0, 'data': '1.06075971026539627873777655255', 'prec': 103}}